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230012012000 = 2553223257861
BaseRepresentation
bin1101011000110111001…
…0001100010111100000
3210222200221011212020102
43112031302030113200
512232031033341000
6253355511401532
722421624562161
oct3261562142740
9728627155212
10230012012000
118960286a001
12386b26832a8
13188c802b864
14b1bdd75768
155eb31723d5
hex358dc8c5e0

230012012000 has 96 divisors (see below), whose sum is σ = 567675972864. Its totient is φ = 91591872000.

The previous prime is 230012011997. The next prime is 230012012017. The reversal of 230012012000 is 210210032.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 763070 + ... + 1020930.

It is an arithmetic number, because the mean of its divisors is an integer number (5913291384).

Almost surely, 2230012012000 is an apocalyptic number.

230012012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230012012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283837986432).

230012012000 is an abundant number, since it is smaller than the sum of its proper divisors (337663960864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230012012000 is a wasteful number, since it uses less digits than its factorization.

230012012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258109 (or 258091 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 230012012000 its reverse (210210032), we get a palindrome (230222222032).

The spelling of 230012012000 in words is "two hundred thirty billion, twelve million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 223 250 400 446 500 800 892 1000 1115 1784 2000 2230 3568 4000 4460 5575 7136 8920 11150 17840 22300 27875 35680 44600 55750 89200 111500 178400 223000 257861 446000 515722 892000 1031444 1289305 2062888 2578610 4125776 5157220 6446525 8251552 10314440 12893050 20628880 25786100 32232625 41257760 51572200 57503003 64465250 103144400 115006006 128930500 206288800 230012012 257861000 287515015 460024024 515722000 575030030 920048048 1031444000 1150060060 1437575075 1840096096 2300120120 2875150150 4600240240 5750300300 7187875375 9200480480 11500600600 14375750750 23001201200 28751501500 46002402400 57503003000 115006006000 230012012000